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Finding the Third Proportional to 5,638.36 and 13,292.86

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Solution

The third proportional to 5,638.36 and 13,292.86 is: 31,338.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,638.36 : 13,292.86 = 13,292.86 : x
  2. Step 2: Convert to fraction form
    5,638.36/13,292.86 = 13,292.86/x
  3. Step 3: Cross multiply
    5,638.36x = 13,292.86 × 13,292.86
  4. Step 4: Simplify right side
    5,638.36x = 176,700,110.36
  5. Step 5: Solve for x
    x = 176,700,110.36/5,638.36
  6. Step 6: Final answer
    x = 31,338.92

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.